(11x+11)(11x+10)=0

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Solution for (11x+11)(11x+10)=0 equation:


Simplifying
(11x + 11)(11x + 10) = 0

Reorder the terms:
(11 + 11x)(11x + 10) = 0

Reorder the terms:
(11 + 11x)(10 + 11x) = 0

Multiply (11 + 11x) * (10 + 11x)
(11(10 + 11x) + 11x * (10 + 11x)) = 0
((10 * 11 + 11x * 11) + 11x * (10 + 11x)) = 0
((110 + 121x) + 11x * (10 + 11x)) = 0
(110 + 121x + (10 * 11x + 11x * 11x)) = 0
(110 + 121x + (110x + 121x2)) = 0

Combine like terms: 121x + 110x = 231x
(110 + 231x + 121x2) = 0

Solving
110 + 231x + 121x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '11'.
11(10 + 21x + 11x2) = 0

Factor a trinomial.
11((1 + x)(10 + 11x)) = 0

Ignore the factor 11.

Subproblem 1

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(10 + 11x)' equal to zero and attempt to solve: Simplifying 10 + 11x = 0 Solving 10 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 0 + -10 11x = 0 + -10 Combine like terms: 0 + -10 = -10 11x = -10 Divide each side by '11'. x = -0.9090909091 Simplifying x = -0.9090909091

Solution

x = {-1, -0.9090909091}

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